Answer:
Step-by-step explanation:
The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.
-46 - 8x > 22
-8x > 22 + 46
-8x > 68
x < 68/-8 (we divided by -8 so the inequality changed direction)
x < -17/2
<span>You divide the top of the fraction by the bottom and t<span>hen multiply it by 100.
Example : 1/4
-you do 1 divied by 4 = 0.25
-then you mutiply 0.25 by 100
-and you will get : 25%
-Hope this helps.</span></span>
Answer:
40/3; 13.3333333333333
Step-by-step explanation:
The volume of the cone is:
(1/3)(pi)(r^2)(h) =
(1/3)(pi)(10^2)(10) =
1000pi/3
The volume of the cylinder is:
(pi)(r^2)(h) =
(pi)(5^2)(h) =
25pi(h) = 1000pi/3 -->
pi(h) = 40pi/3 -->
h = 40/3
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>
By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:
(x - h)² / a² + (y - k)² / b² = 1, where a > b (1)
Where:
- a - Length of the major semiaxis.
- b - Length of the minor semiaxis.
Now, we proceed to find the vertex and the lengths of the semiaxes:
a = 10 units.
b = 8 units.
Vertex
V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)
V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)
V(x, y) = (1.5, 1) + (- 4.5, 1)
V(x, y) = (- 3, 2)
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
To learn more on ellipses: brainly.com/question/14281133
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